Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules

Autor: Saniga, Metod, Bartnicka, Edyta
Rok vydání: 2018
Předmět:
Zdroj: Axioms 8 (2019) 28
Druh dokumentu: Working Paper
DOI: 10.3390/axioms8010028
Popis: It is shown that there exists a particular associative ring with unity of order 16 such that the relations between nonunimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of the generalized quadrangle of order two. Such a doily-centered geometric structure is surmised to be of relevance for quantum information.
Comment: 5 pages, 3 figures
Databáze: arXiv